Newton's Method for Nonlinear Inequalities.
Numerische Mathematik, Tome 21 (1973), pp. 381-388.

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@article{NUMA_1973__21_132244,
     author = {James W. Daniel},
     title = {Newton's {Method} for {Nonlinear} {Inequalities.}},
     journal = {Numerische Mathematik},
     pages = {381--388},
     publisher = {mathdoc},
     volume = {21},
     year = {1973},
     zbl = {0293.65039},
     url = {http://geodesic.mathdoc.fr/item/NUMA_1973__21_132244/}
}
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James W. Daniel. Newton's Method for Nonlinear Inequalities.. Numerische Mathematik, Tome 21 (1973), pp. 381-388. http://geodesic.mathdoc.fr/item/NUMA_1973__21_132244/